{
  "metadata": {
    "language_info": {
      "codemirror_mode": {
        "name": "python",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8"
    },
    "kernelspec": {
      "name": "python",
      "display_name": "Pyolite",
      "language": "python"
    },
    "colab": {
      "name": "7.ipynb",
      "provenance": []
    }
  },
  "nbformat_minor": 0,
  "nbformat": 4,
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        ""
      ],
      "metadata": {
        "id": "QP5T2mD_Kzpa"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "更改信号采样率"
      ],
      "metadata": {
        "id": "4zbXuvjdKVy6"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "此示例说明如何更改信号的采样率。此示例有两个部分。第一部分将正弦输入的采样率从 44.1 kHz 改为 48 kHz。此工作流在音频处理中很常见。光盘上使用的采样率是 44.1 kHz，而数字音频磁带上使用的采样率是 48 kHz。第二部分将录制的语音样本的采样率从 7418 Hz 更改为 8192 Hz。\n",
        "\n",
        "创建一个由多个正弦波组成的输入信号，采样率为 44.1 kHz。这些正弦波的频率为 2 kHz、4 kHz 和 8 kHz。"
      ],
      "metadata": {
        "id": "74smXQm15QBX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from matplotlib import pyplot as plt\n",
        "from scipy import signal\n",
        "import scipy.io as scio"
      ],
      "metadata": {
        "trusted": true,
        "id": "5eHOgyPj5QBa"
      },
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fs = 44100\n",
        "tfs = 48000\n",
        "t = np.arange(0, 1, 1/fs)\n",
        "x = np.cos(2 * np.pi * 2000 * t) + 0.5 * np.sin(2 * np.pi * 4000 * (t - np.pi/4)) + 0.25 * np.cos(2 * np.pi * 8000 * t)"
      ],
      "metadata": {
        "trusted": true,
        "id": "Nmcz3zLq5QBb"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(abs(tfs / fs) * fs - tfs)"
      ],
      "metadata": {
        "trusted": true,
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TF0hDQXw5QBc",
        "outputId": "86f682aa-8284-416b-8609-c9e0acd79ea2"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "7.275957614183426e-12\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "可以看到，P/Q*Fs 与所需采样率 48000 相差的数量级仅为10<sup>-12"
      ],
      "metadata": {
        "id": "gaW0v_jl5QBd"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "y = signal.resample_poly(x, 48000, 44100)"
      ],
      "metadata": {
        "trusted": true,
        "id": "SoskQnbf5QBd"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "tx = np.arange(0, len(x), 1)\n",
        "ty = np.arange(0, len(y), 1)\n",
        "print(len(x), len(y))"
      ],
      "metadata": {
        "trusted": true,
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7WEtG9RC5QBe",
        "outputId": "635ae777-8d23-4c4a-d357-986624a19acb"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "44100 48000\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplot(211)\n",
        "plt.plot(tx/fs, x)\n",
        "plt.subplot(212)\n",
        "plt.plot(ty/tfs, y)\n",
        "plt.show()"
      ],
      "metadata": {
        "trusted": true,
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 264
        },
        "id": "xDrE6oXV5QBe",
        "outputId": "c5c74046-7a9c-4307-b3f9-d966a3f6fdaf"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplot(211)\n",
        "plt.plot(tx/fs, x)\n",
        "plt.axis([0, 0.002, -2, 2])\n",
        "plt.subplot(212)\n",
        "plt.plot(ty/tfs, y)\n",
        "plt.axis([0, 0.002, -2, 2])\n",
        "plt.show()"
      ],
      "metadata": {
        "trusted": true,
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "DVqQw0hg5QBf",
        "outputId": "4d15d022-a033-4201-fc60-2a578cec4005"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "将语音样本的采样率从 7418 Hz 更改为 8192 Hz。语音信号是说话者朗读 \"MATLAB®\" 的录音。\n",
        "\n",
        "加载该语音样本。"
      ],
      "metadata": {
        "id": "sNmiRyhBms0n"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "filename = 'mtlb.mat'\n",
        "mtlb = scio.loadmat(filename)\n",
        "data = mtlb['mtlb']"
      ],
      "metadata": {
        "id": "WfjVEo1D5QBf"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "确定新采样率 8192 与原始采样率之比的有理近似值。使用 rat 确定近似值。"
      ],
      "metadata": {
        "id": "5x7qwUIEm1KA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_new = signal.resample_poly(data, 8192, 7418)"
      ],
      "metadata": {
        "id": "lOr18ffDmgE9"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x_ = np.arange(0, len(data), 1)\n",
        "y_ = np.arange(0, len(data_new), 1)"
      ],
      "metadata": {
        "id": "FoKvdC5InnRv"
      },
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "以新采样率对语音样本进行重采样。绘制两个信号。"
      ],
      "metadata": {
        "id": "FETdfTxwqMdn"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplot(211)\n",
        "plt.plot(x_/7418, data)\n",
        "plt.subplot(212)\n",
        "plt.plot(y_/8192, data_new)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 264
        },
        "id": "vPmGekFTmgHW",
        "outputId": "2845d3b4-6ff7-4c7a-94f1-2b11be6e6b55"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}